Finite-Time State Zonotopes Design for Asynchronously Switched Systems With Application to a Switched Converter

In this paper, a class of finite-time state zonotopes are proposed for the interval estimation of switched systems with asynchronous switching. First, considering the mismatch between the system mode and the observer mode, an augmented switching signal is adopted to deal with the asynchronism uniformly. Then, the state zonotopes are constructed in the synchronous and asynchronous intervals, respectively, to enclose the actual system state. Specific iteration procedures are provided for the generator matrix. Moreover, a new criterion is newly proposed to address that the estimation error is finite-time bounded with a pre-specified upper bound under the hybrid mode-dependent switching. Solvable conditions are presented to optimize the observer gain and ensure a finite-time $\mathcal {L}_{2}$ gain in attenuating the unknown-but-bounded perturbation. Finally, the effectiveness of the proposed method is validated through the application to a switched converter.